Circulant matrices and Galois-Togliatti systems

Pietro De Poi, Emilia Mezzetti, Mateusz Michałek*, Rosa Maria Miró-Roig, Eran Nevo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we solve a conjecture stated in [17] concerning the minimality of GT-systems.

Original languageAmerican English
Article number106404
JournalJournal of Pure and Applied Algebra
Volume224
Issue number11
DOIs
StatePublished - Nov 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

  • Circulant matrix
  • Laplace equations
  • Monomial ideals
  • Permanent
  • Togliatti systems
  • Weak Lefschetz property

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